Heat a large, deep skillet or Dutch oven over medium heat. Remove from heat, spray with vegetable spray, then return to heat and cook chicken for 3 minutes on each side.
Add broth, water, oregano, lemon zest, lemon juice and pepper to the skillet. Bring to a simmer over medium-high heat, about 2 minutes. Reduce heat to medium-low and cook, uncovered, for 15 minutes or until chicken is no longer pink in the center. Remove chicken from the pan.
Stir the remaining ingredients into the skillet and place chicken on top. Cover and cook over medium-low heat for 10 minutes or until bulgur is tender and broth is absorbed.